Gradient higher integrability for singular parabolic double-phase systems

We prove a local higher integrability result for the gradient of a weak solution to parabolic double-phase systems of p-Laplace type when \(\tfrac{2n}{n+2}< p\le 2\) $\frac{2n}{n+2}<p\le 2$ . The result is based on a reverse Hölder inequality in intrinsic cylinders combining p-intrinsic and (p, q)-intrinsic geometries. A singular scaling deficits affects the range of q.